document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040263>Question 1040263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2000, the population of Charleston, South Carolina, was 116,300. During the 1990s, its population increased at an average rate of 800 people per year. In 2000, the population of Greenville, South Carolina, was 56,002. During the 1990s, its population decreased at an average rate of 228 per year. Suppose the population of each city continues to increase and decrease, respectively, at these rates. Approximately how many years ago (from the year 2000) would the populations of the two cities have been the same?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655064 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each city, plot <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+ ALIGN=MIDDLE  ALT=\"+p+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, population on the<BR>\n" );
document.write( "vertical axis and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%5D%5D%5D%2C+number+of+years+relative%0D%0Ato+year+2000%2C+on+the+horizontal+axis%0D%0A-----------------------------------------%0D%0ARate+for+Charleston%2C+SC%3A+%7B%7B%7B+800+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > p / n<BR>\n" );
document.write( "Rate for Greenville, SC: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-228+ ALIGN=MIDDLE  ALT=\"+-228+\"   DISABLED_style= \"max-width:90%; height:auto;\" > p / n<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Equation for Charleston, SC:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+116300+%2B+800n+ ALIGN=MIDDLE  ALT=\"+p+=+116300+%2B+800n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for Greenville, SC:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+56002+-+228n+ ALIGN=MIDDLE  ALT=\"+p+=+56002+-+228n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Set the 2 populations equal to each other<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+116300+%2B+800n+=+56002+-+228n+ ALIGN=MIDDLE  ALT=\"+116300+%2B+800n+=+56002+-+228n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1028n+=+56002+-+116300+ ALIGN=MIDDLE  ALT=\"+1028n+=+56002+-+116300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1028n+=+-60298+ ALIGN=MIDDLE  ALT=\"+1028n+=+-60298+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+-58.656+ ALIGN=MIDDLE  ALT=\"+n+=+-58.656+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 1941, ( 59 years before 2000 ), the cities populations<BR>\n" );
document.write( "would have been the same<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+116300+%2B+800%2A%28+-58.656+%29+ ALIGN=MIDDLE  ALT=\"+p+=+116300+%2B+800%2A%28+-58.656+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+116300+-+46924.8+ ALIGN=MIDDLE  ALT=\"+p+=+116300+-+46924.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+69375.2+ ALIGN=MIDDLE  ALT=\"+p+=+69375.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+56002+-+228%2A%28+-58.656+%29+ ALIGN=MIDDLE  ALT=\"+p+=+56002+-+228%2A%28+-58.656+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+56002+%2B+13373.568+ ALIGN=MIDDLE  ALT=\"+p+=+56002+%2B+13373.568+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p+=+69375.568+ ALIGN=MIDDLE  ALT=\"+p+=+69375.568+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think that's close enough<BR>\n" );
document.write( "Here's the plots:<BR>\n" );
document.write( "( year 2000 is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+0+ ALIGN=MIDDLE  ALT=\"+n+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+400%2C+-100%2C+20%2C+-20000%2C+200000%2C+116300+%2B+800x%2C+56002+-+228x+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );